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If one mole of an ideal gas is heated at constant pressure, then the first law of thermodynamics can be written as:

Correct answer: A. CpΔT = CvΔT + PΔV

  • A. CpΔT = CvΔT + PΔV
  • B. CvΔT = CpΔT + PΔV
  • C. CpΔT = CvΔT + VΔP
  • D. ΔCpT = ΔCvT + PΔV

Explanation

Heat supplied to the gas at constant pressure isΔQ=nCPΔTChange in internal energy,ΔU=nCVΔTChange in work done,ΔW = PΔVAccording to the first law of thermodynamicsΔQ=ΔU+ΔWnCPΔT= nCVΔT + PΔV

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About First Law of Thermodynamics

The first law relates heat supplied, work done and the change in internal energy through energy conservation. Problems use sign conventions and apply the law to isothermal, adiabatic, isobaric and isochoric processes. Internal energy is a state function, while heat and work depend on the path followed.

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